一个生理自调节过程的动力学模型研究

在一定的假设下,建立了下丘脑—垂体—肾上腺皮质系统的动力学模型。研究了模型方程的分岔及混沌特性。以此模型解释了已有的临床实验结果,并预言了一些新的结论。

Research of a Dynamical Model for a Physiological Process

Under certain assumptions a dynamical model is set up for the hypothalamus-hypophysis-adrenal cortex system. The bifurcations and chaos of this model are investigated. Taking parameter p3 in the modeling equations as a bifurcation parameter, trajextories in the phase space and corresponding power spectra from period 2 to period 32 are given. It is found that the rations of the parameter ranges tend to Feigen baum universal numbers. When p3(?)1.31, the system goes into the chaos and the Lyapunov exponents of this system are calculated. These theoretical results explain three clinical observations.